Is this an animation workspace bug in 2.8?
I haven't seen this cause what you're seeing there, but your clip settings are pretty extreme, and I know that having Clip End too large, or Clip Start too small, can cause viewport problems. Your End is too large, and Start is too small!

Try End at 500, and start at 1.0. When you get into the perspective view, hit the home key to frame up the scene. Maybe that will work.